Answer:
Base=8.4 inches
Step-by-step explanation:
Area of triangular bandana is 38sq inches
Height of triangle is 9 inches
Area of ∆ =½×b×h
38=½×b×9
38×2=b×9
76/9=b
b=8.4 inches
Which statement describes the behavior of the function f (x) = startfraction 2 x over 1 minus x squared endfraction?
The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
How to find the value of the function as x approaches infinity (+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
For the considered case, the function is:
[tex]f(x) = \dfrac{2x}{1-x^2}[/tex]
The missing options are:
The graph approaches –2 as x approaches infinity.The graph approaches 0 as x approaches infinity.The graph approaches 1 as x approaches infinity.The graph approaches 2 as x approaches infinity.So we need to find the limit of the function as x approaches infinity.
[tex]lim_{x\rightarrow \infty}f(x) = lim_{x\rightarrow \infty}\dfrac{2x}{1-x^2} = lim_{x\rightarrow \infty}\dfrac{2x/x^2}{1/x^2 - 1} = lim_{x\rightarrow \infty}\dfrac{2/x}{1/x^2 - 1}\\\\lim_{x\rightarrow \infty}f(x) = \dfrac{lim_{x\rightarrow \infty}(2/x^2)}{lim_{x\rightarrow \infty}(1/x^2 - 1)} = \dfrac{0}{0-1} = \dfrac{0}{-1} = 0[/tex]
Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.
Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
Learn more about limits of a function here:
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The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost of $250.
The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Write the expression in simplified form.
please help me i have a test tmr
Answer:
800n+1050
Step-by-step explanation:
800(n+1)+250 = 800n+800+250 = 800n+1050.
Hope this helps!
Good luck with your test + I hope you do well on it.
Please mark me as brainliest!
What is the constant term in the expression 8xy − 9x2 y − 5x 6
Answer: 6
Step-by-step explanation:
I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.
HELP!!
Find the mistake: Use the picture to find the diagonal of
the television. Look at the student’s work and solution.
Identify the error, solve the problem. Then share a
strategy this student could use to prevent this error again.
Answer:
It is actually very simple:
Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:
[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c
I believe this is the answer. I hope I had helped :)
HELP ME PLEASE!!! I cant do this and it is due in 10 minutes.
25% of 7th-grade classrooms are math classrooms. The 7th-grade area has three math classrooms. How many classrooms are there in the seventh-grade area?
Answer:
12 classrooms
Step-by-step explanation:
We know that there are 3 math classrooms, and three math classrooms is 25% of all of the classrooms. We need to know the total number of classrooms, which is 100% of the classrooms, so we do 25% times 4. Because we did 25 times 4, we have to do 3 classrooms times 4, and we get 12 classrooms.
Here's a ratio explanation.:
Percent of classrooms : Classrooms
25 : 3
100 : 12
Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm
In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.
In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]
RemarkThis is a Computer Science problem, whose complete statement is described below:
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?
To learn more on recursive functions, we kindly invite to check this verified question: https://brainly.com/question/25762866
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm?In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.
In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Hence, the result of the recursive function mystery (m) is k.
To learn more about recursive functions; brainly.com/question/25762866
#SPJ4
PLEASE HELP! DUE TODAY! TY!
Use the diagram to find the value of x and the measure of Arc MR. (MR) =(3x+19)° and (LK) =189°
Work:
x =
(MR) =
Answer: x=12, (MR)=55
Step-by-step explanation:
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
two solutionsx = 1, 3
Explanation:
[tex]\sf f(x)=x^2-4x+3[/tex]
[tex]\rightarrow \sf x^2-4x+3=0[/tex]
[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]
[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]
[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]
[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]
[tex]\rightarrow \sf x=1, \ x=3[/tex]
Thus, there are two solutions and the values are 1 and 3
Let's see
[tex]\\ \rm\rightarrowtail f(x)=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1,3[/tex]
A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the video currently has 71,000 views, how many views will it have in 9 hours?
Answer:198000 maybe
Sorry if it’s wrong
If the circumference is 50 cm what is radius of the circle?
Answer:
7.96
Step-by-step explanation:
C=2πr undo it
R=C/2π=50/2×π≈7.5775 rounded is 7.96
Hope this helps!
Have a nice day!! :D
The radius of the circle is 7.96 cm.
What is the radius of the circle?The radius of a circle is the distance from the center of the circle to any point on its circumference. It is usually denoted by ‘R’ or ‘r’.
The circumference of the circle is given by;
[tex]\rm Circumference = 2\pi r[/tex]
Where r is the radius of the circle.
Substitute all the values in the formula
[tex]\rm Circumference = 2\pi r\\\\50 = 2\pi r\\\\r = \dfrac{50}{2\times 3.14}\\\\r=7.96[/tex]
Hence, the radius of the circle is 7.96 cm.
To know more about the radius of the circle click the link given below.
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Rob goes to the gym 3 times a week work out how many times he goes to the gym in
a• four weeks
b• one year
Answer:
a=12 times
b=156 times
Step-by-step explanation:
4 weeks=month
4*3=12
52 weeks=1 year
52*3=156
Therefore he goes 12 times a month, and 156 times a year.
Why are fractions 2/4 and 5/10 equivalent
Answer:
They both equal 20 when you do the butterfly method. They are all factors of 20.
Step-by-step explanation:
2/4 5/10
2x10=20
4x5=20
200 dabloon bitcoins
Answer:
3b. [tex]\displaystyle 10; Mental\:Mathematics[/tex]
3a. [tex]\displaystyle \frac{5}{8} \times 16[/tex]
Explanation:
Dividing a mixed number\fraction is in similarity to multiplying its multiplicative inverce, which is what you see in the above answer. However, I did not figure it out this way. I did this:
[tex]\displaystyle \boxed{10} = \frac{5}{\frac{1}{2}} \Rightarrow \boxed{10} = \frac{5}{8} \div \frac{1}{16}[/tex]
Either way is fine, as long as you know what you are doing.
I am joyous to assist you at any time.
Please help! : )
What are the two acute angles?
hegarty maths help asap please
Answer:
10.3 cm
Step-by-step explanation:
By sine rule
[tex] \frac{x}{ \sin \: 50 \degree} = \frac{13}{ \sin \: 75 \degree} \\ \\ \implies \: x = \frac{13\sin \: 50 \degree}{\sin \: 75 \degree} \\ \\\implies \: x = \frac{9.9585777605}{0.9659258263} \\ \\ \implies \: x = 10.3098783\\\\\implies \: x = 10.3\: cm[/tex]
Given one of the interior angles of the hanger, find the measures of angles A and B.
Answer:
A= 130
B= 25
Step-by-step explanation:
A is 130 because the amount of degrees that are in a triangle is 180 degrees. From that we can substract 25 from 180 and get 155.
Since B is congruent with 25, B is also 25 degrees. Therefore, A is 130 because 180 - 50 is 130.
Hope this helps.
Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Please help me
Answer:
y = (2/15) x -(117/15)
Step-by-step explanation:
To write the equation we should know the slope m and the y-intercept b .
m= (y2-y1)/(x2-x1)
For points (x1 = -9, y1 = -9) and (x2 = 6, y2 = -7)
m = (-7 - - 9)/(6 - - 9) = (-7 + 9)/(6 +9) = 2 / 15
The general equation of a line is
y= mx + b
Our equation is
y = (2/15) x +b
To find b, substitute one of the two points, we know are on the line, in our equation. For example, we can substitute point (-9,-9)
-9 = (2/15) (-9) +b , multiply -9 by 2/15
-9 = - (18/15) +b, add -18/15 on both sides
-9 + (18/15) = b, find common denominator and add
[(-9 ·15) +18]/15 = b , simplify
-117/15 = b
So our equation is:
y = (2/15) x -(117/15)
HEELPPPP ILL GIVE BRAINLIEST
Billy invested $1000.00 into a savings account on the day his daughter was born. The money is being saved for her college tuition. Billy leaves the money in a savings account until his daughter's 18th birthday. The account earned a simple interest rate of 6.925%. What is the total amount in the account?
Answer:
Let the amount invested at 3% = x
Let the amount invested at 6% = y.
From the total amount invested, we get this equation.
x + y = 18
Now we look at the interest earned.
The 3% account earns 0.03x
The 6% account earns 0.06y
5% on the entire amount is 0.05 * 18 = 0.9
This gives us the second equation.
0.03x + 0.06y = 0.9
Now we have a system of 2 equations in 2 unknowns.
x + y = 18
0.03x + 0.06y = 0.9
Solve the first equation for y:
y = 18 - x
Replace 18 - x for y in the second equation.
0.03x + 0.06y = 0.9
0.03x + 0.06(18 - x) = 0.9
0.03x + 1.08 - 0.06x = 0.9
-0.03x + 1.08 = 0.9
-0.03x = -0.18
x = 6
Answer: He invested $6 at 3%
Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.
Step-by-step explanation:
for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.
for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.
so, the whole trip took 5 + 11 = 16 blocks.
put the equation below into vertex form.
y=(x+9)(x+25)
Answer:
Step-by-step explanation:
If and , which expression is equivalent to ?
A.
B.
C.
D.
Decrease £19064.67 by 9.5%
Answer:
£17,253.53
Step-by-step explanation:
9.5% of 19,064.67 is 1,811.14 (rounded to the nearest hundredth.)
Subtract 1,811.14 from 19,064.67, and this will give you 17,253.53. This is a 9.5% decrease.
Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?
Answer:
a) four friends bought each ticket for $80 and also
bought a Jersey for $15
b) 4(95)
= 380
c) 8.95 - the answer is in decimal
The point (-5, 6) is on a circle with a center (-1, 3).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Step-by-step explanation:
The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.
Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:
(x+5)^2 + (y-6)^2 = 25
Find the Area of the shaded part.
To find the area of the shaded part we have to subtract the rectangle area from the triangle area :
[tex]s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\ [/tex]
[tex]s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\ [/tex]
[tex]s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\ [/tex]
[tex]s = 24 {x}^{2} + 6x - 3 {x}^{2} - x[/tex]
[tex]s = 24 {x}^{2} - 3 {x}^{2} + 6x - x[/tex]
[tex]s = 21 {x}^{2} + 5x[/tex]
And we're done
Have a great day ♡
Bronson earns $625 per week at his job. How much does he earn annually?
please help
The height of a building in a drawing is 15 inches if the actual height of the building is 165 feet find the scale factor of the Drawing
Answer:
The scale is 11 feet per one inch.
Step-by-step explanation:
[tex]\frac{165feet}{15inches} = 11feet / inch[/tex]
help me plssss ‼️‼️‼️
teddy bears = 80
hope it helps..!!!
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
23. The maximum distance that you can see from the top of a tall
building is (directly) proportional to the square root of the
height of the building. You can see approximately 41 mi from
the Canadian National Tower lookout level, which is 1,135 ft
tall. How far can you see from the top of the Sears Tower in
Chicago (now the Willis Tower), which is 1,454 ft tall?
23. How far can you see from the top of the sears tower in Chicago, which is 1,454 ft tall?
The distance I can see from the top of the sears tower in Chicago is 46.41 mi.
How far can you see the from the top of the Sears Tower?The equation for direct proportionality = y = b√x
where:
y = dependent variable = distance you can seeb = constantx = independent variable = square root of the height of the building.b = y /√x
41 / √1135
b = 1.217
y = 1.217√1454
y = 46.41 mi
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A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Enter your answer in the box.
V = m³
Answer:
14,085m³
Step-by-step explanation:
9*5*13
9*5=45
45*313=14,085
14,085